A former BBC children's television presenter has won a family court fight with her ex-partner over their child, it can now be revealed.

Katy Ashworth had brought the child back to Britain after a trip to Australia earlier this year.

She made the decision to return home when she discovered material on a computer belonging to her ex-partner, the child’s father, Ben Alcott, that suggested he had been unfaithful to her.

Mr Alcott - a 42-year-old television director who lives in Australia - had argued that the child was habitually resident in that country and complained that Ashworth had been wrong to take the child back to the UK.

But Deputy High Court Judge Alex Verdan, who analysed evidence over two days at a private hearing in the Family Division of the High Court in London, disagreed.

The judge concluded that the child was not wrongfully removed from Australia by Ashworth.

Judge Verdan had previously allowed reporters to attend the hearing - and report an outline of the case - but had barred the publication of the names of the people involved.

However, the judge has now produced a written judgment on the case and ruled that Ms Ashworth and Mr Alcott can be identified, although their child cannot.

Judge Verdan said Ms Ashworth had always been the child's primary carer and that she travelled to Australia with the child in April.

"The father says this was a permanent move," said the judge.

"The mother says it was a trial attempt to see if their relationship would work out long term."

He said Ashworth and the child stayed at Mr Alcott's home for three nights and returned to the UK shortly afterwards.

The judge added: "The main reason the mother left Australia was that she discovered material on the father's computer which indicated to her his infidelity."

He said Ashworth had emailed Mr Alcott, saying: "Ben. I know everything. I'm done. Have packed up and left."

She emailed again, after arriving back in the UK, adding: "Thank goodness I found out all the lies before moving to Australia with you for good."

Her katyashworth.com website describes the former 30-year-old star as a "very well-known and much-loved face to thousands of children and their families across the UK and throughout the rest of the world" and says she is an "accomplished actress, entertainer and singer".

Judge Verdan had considered evidence at a hearing earlier this month, where the parents were present.

"Until earlier this year the mother worked as a television presenter with the BBC," said Judge Verdan in his ruling.

"The parties started their relationship in May or June of 2011. They never married."

He added: "The parties' relationship was long distance given where they each lived. In addition, they separated and reconciled on a number of occasions."